27y^2+42y-5=0

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Solution for 27y^2+42y-5=0 equation:


Simplifying
27y2 + 42y + -5 = 0

Reorder the terms:
-5 + 42y + 27y2 = 0

Solving
-5 + 42y + 27y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -3y)(1 + -9y) = 0

Subproblem 1

Set the factor '(-5 + -3y)' equal to zero and attempt to solve: Simplifying -5 + -3y = 0 Solving -5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = 0 + 5 -3y = 0 + 5 Combine like terms: 0 + 5 = 5 -3y = 5 Divide each side by '-3'. y = -1.666666667 Simplifying y = -1.666666667

Subproblem 2

Set the factor '(1 + -9y)' equal to zero and attempt to solve: Simplifying 1 + -9y = 0 Solving 1 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9y = 0 + -1 -9y = 0 + -1 Combine like terms: 0 + -1 = -1 -9y = -1 Divide each side by '-9'. y = 0.1111111111 Simplifying y = 0.1111111111

Solution

y = {-1.666666667, 0.1111111111}

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